Perform the indicated operation? math question?

Question

(x^4-3x^2+6) / (x-5)

ty

Answer 1

You can do this using "synthetic division"
....... ______________________
x - 5 ) x^4 - 0x^3 - 3x^2 + 0x + 6

I'm going to simplify this leaving out the x-terms and only showing the coefficients, but just imagine they are there:

.............. 1 . 5 .22 110
1 -5 ) 1 . 0 .-3 . 0 . 6
......... 1. -5
......... ------
.............. 5 .-3
.............. 5 -25
.............. -------
................... 22. 0
....... ........... 22 -110
....... ............----------
....... ........ ........ 110 6
....... ........ ........ 110 -550
....... ........ ........ ------------
....... ........ ........ ....... 556

So if I did it correctly the answer should be:
1 5 22 110 remainder 556

This equates to:
(x^3 + 5x^2 + 22x + 110) + 556/(x-5)

Answer 2

what do you want? simpify? x when y is 0? when y is zero, there is no answer for x.